3-dimensional mixed BF theory and Hitchin's integrable system
High Energy Physics - Theory
2022-09-07 v1 Mathematical Physics
math.MP
Abstract
The affine Gaudin model, associated with an untwisted affine Kac-Moody algebra, is known to arise from a certain gauge fixing of 4-dimensional mixed topological-holomorphic Chern-Simons theory in the Hamiltonian framework. We show that the finite Gaudin model, associated with a finite-dimensional semisimple Lie algebra, or more generally the tamely ramified Hitchin system on an arbitrary Riemann surface, can likewise be obtained from a similar gauge fixing of 3-dimensional mixed BF theory in the Hamiltonian framework.
Cite
@article{arxiv.2201.07300,
title = {3-dimensional mixed BF theory and Hitchin's integrable system},
author = {Benoit Vicedo and Jennifer Winstone},
journal= {arXiv preprint arXiv:2201.07300},
year = {2022}
}